Let P and T be the subsets of k, y-plane defined by

P = {(x, y) : x > 0, y > 0 and x² + y² = 1}

T = {(x, y) : x > 0, y > 0 and x⁸ + y⁸ < 1}

Then, P $$ \cap $$ T is

The area of the figure bounded by the parabolas x = $$-$$ 2y² and x = 1 $$-$$ 3y² is